What are the solutions to the equation 4x^2+6x+7=0 ?

The solutions to the equation 4x^2+6x+7=0 are x=-3/4+i(sqrt(19))/4 ,x=-3/4-i(sqrt(19))/4

Find the zeros of 4x^2+6x+7=0

The zeros of 4x^2+6x+7=0 are x=-3/4+i(sqrt(19))/4 ,x=-3/4-i(sqrt(19))/4

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4 x^{2} + 6 x + 7 = 0

x = - \frac{3}{4} + i \frac{19}{4}, x = - \frac{3}{4} - i \frac{19}{4}

Solution steps

4 x^{2} + 6 x + 7 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 \cdot 4 \cdot 7}{2 \cdot 4}

Simplify

6^{2} - 4 \cdot 4 \cdot 7 : 219 i

x_{1, 2} = \frac{- 6 \pm 2 19 i}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- 6 + 2 19 i}{2 \cdot 4}, x_{2} = \frac{- 6 - 2 19 i}{2 \cdot 4}

x = \frac{- 6 + 2 19 i}{2 \cdot 4} : - \frac{3}{4} + i \frac{19}{4}

x = \frac{- 6 - 2 19 i}{2 \cdot 4} : - \frac{3}{4} - i \frac{19}{4}

The solutions to the quadratic equation are:

x = - \frac{3}{4} + i \frac{19}{4}, x = - \frac{3}{4} - i \frac{19}{4}

x^{2} + 100 = 20 x

x^{2} - 7 x + 29 = 3 x + 4

(x - 5)^{2} + 7 (x - 5) + 10 = 0

4 x^{2} - 24 x + 32 = 0

16 x^{2} - 8 x = 0

What are the solutions to the equation 4x^2+6x+7=0 ?
The solutions to the equation 4x^2+6x+7=0 are x=-3/4+i(sqrt(19))/4 ,x=-3/4-i(sqrt(19))/4
Find the zeros of 4x^2+6x+7=0
The zeros of 4x^2+6x+7=0 are x=-3/4+i(sqrt(19))/4 ,x=-3/4-i(sqrt(19))/4